Question

4. Find the measure of an angle which is
(i) equal to its complement, (ii) equal to its supplement.
ocurn of an angle which is 36° more than its complement.
5 Find the​

Answer 1

Answers :-

i) 45°

ii) 90°

iii) 63°

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Explanation :-

Need to find: The measure of angles which is-

                      ~Equal to it's compliment

                      ~Equal to it's supplement

                      ~36° more than it's complement

As we know that,

• Two angles whose sum is 90° are known as complementary angles.

• Two angles whose sum is 180° are known as supplementary angles.

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T H E R E F O R E,

• i)  Let's say that angle is x, then it's complementary angle will be ( 90 - x ).

ATQ

→ x = 90 - x

→ x + x = 90

→ 2x = 90

→ x = 90/2

→ x = 45°

Henceforth, the angle which is equal to it's complement is 45°.

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• ii) Let's say that the angle is x, then it's supplementary angle will be ( 180 - x )

ATQ

→ x = 180 - x

→ x + x = 180

→ 2x = 180

→ x = 180/2

→ x = 90°

Henceforth, the angle which is equal to it's supplement is 90°.

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• iii) Let's say that angle is x, then it's complement will be ( 90 - x ).

ATQ

→ ( 90 - x ) + 36° = x

→ 90 + 36 - x = x

→ 126 - x = x

→ x + x = 126

→ 2x = 126

→ x = 126/2

→ x = 63°

Henceforth, the angle which is 36° more than it's complement is 63°.